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Differential Equations and Dynamical Systems

2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

  • Abdulla Azamov
  • Leonid Bunimovich
  • Akhtam Dzhalilov
  • Hong-Kun Zhang
Conference proceedings USUZCAMP 2017

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 268)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Akhadkulov Habibulla, Dzhalilov Akhtam, Konstantin Khanin
    Pages 1-8
  3. Abdulla Azamov, Akhmedov Odiljon, Tilavov Asliddin
    Pages 41-53
  4. Leonid Bunimovich, Longmei Shu
    Pages 63-73
  5. Akhtam Dzhalilov, Alisher Jalilov, Dieter Mayer
    Pages 75-100
  6. Ibragimov Gafurjan, Usman Waziri, Idham Arif Alias, Zarina Bibi Ibrahim
    Pages 101-113
  7. Kien Nguyen, Hong-Kun Zhang
    Pages 127-140

Other volumes

  1. 2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017
  2. Differential Equations and Dynamical Systems
    2 USUZCAMP, Urgench, Uzbekistan, August 8–12, 2017

About these proceedings

Introduction

This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations. Research articles are devoted to broad complex systems and models such as qualitative theory of dynamical systems, theory of games, circle diffeomorphisms, piecewise smooth circle maps, nonlinear parabolic systems, quadtratic dynamical systems, billiards, and intermittent maps. Focusing on a variety of topics from dynamical properties to stochastic properties of dynamical systems, this volume includes discussion on discrete-numerical tracking, conjugation between two critical circle maps, invariance principles, and the central limit theorem. Applications to game theory and networks are also included. Graduate students and researchers interested in complex systems, differential equations, dynamical systems, functional analysis, and mathematical physics will find this book useful for their studies.

The special session was part of the second USA-Uzbekistan Conference on Analysis and Mathematical Physics held on August 8-12, 2017 at Urgench State University (Uzbekistan). The conference encouraged communication and future collaboration among U.S. mathematicians and their counterparts in Uzbekistan and other countries. Main themes included algebra and functional analysis, dynamical systems, mathematical physics and partial differential equations, probability theory and mathematical statistics, and pluripotential theory. A number of significant, recently established results were disseminated at the conference’s scheduled plenary talks, while invited talks presented a broad spectrum of findings in several sessions. Based on a different session from the conference, Algebra, Complex Analysis, and Pluripotential Theory is also published in the Springer Proceedings in Mathematics & Statistics Series.

Keywords

Partial Differential Equations Finite Dynamics Mathematic Billiards Random Dynamics Dynamical Systems of Biology Dynamical Systems of Medicine Quadratic Systems No-slip Billiards Expanding Maps Renormalizations Chaos Circole Homeomorphisms Invariant Measures Rigidity Problem Congugacies Lodka-Volterra Operators Random Intermittent Maps Projective Plane Pursuit Game

Editors and affiliations

  • Abdulla Azamov
    • 1
  • Leonid Bunimovich
    • 2
  • Akhtam Dzhalilov
    • 3
  • Hong-Kun Zhang
    • 4
  1. 1.Institute of MathematicsUzbekistan Academy of SciencesTashkentUzbekistan
  2. 2.School of MathematicsGeorgia Institute of TechnologyAtlantaUSA
  3. 3.Turin Polytechnic UniversityTashkentUzbekistan
  4. 4.Department of Mathematics and StatisticsUniversity of Massachusetts AmherstAmherstUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-01476-6
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-01475-9
  • Online ISBN 978-3-030-01476-6
  • Series Print ISSN 2194-1009
  • Series Online ISSN 2194-1017
  • Buy this book on publisher's site